{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## This notebook will help you train a latent Point-Cloud GAN.\n",
    "\n",
    "(Assumes latent_3d_points is in the PYTHONPATH and that a trained AE model exists)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import os.path as osp\n",
    "import matplotlib.pylab as plt\n",
    "\n",
    "from latent_3d_points.src.point_net_ae import PointNetAutoEncoder\n",
    "from latent_3d_points.src.autoencoder import Configuration as Conf\n",
    "from latent_3d_points.src.neural_net import MODEL_SAVER_ID\n",
    "\n",
    "from latent_3d_points.src.in_out import snc_category_to_synth_id, create_dir, PointCloudDataSet, \\\n",
    "                                        load_all_point_clouds_under_folder\n",
    "\n",
    "from latent_3d_points.src.general_utils import plot_3d_point_cloud\n",
    "from latent_3d_points.src.tf_utils import reset_tf_graph\n",
    "\n",
    "from latent_3d_points.src.vanilla_gan import Vanilla_GAN\n",
    "from latent_3d_points.src.w_gan_gp import W_GAN_GP\n",
    "from latent_3d_points.src.generators_discriminators import latent_code_discriminator_two_layers,\\\n",
    "latent_code_generator_two_layers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Specify where the raw point-clouds and the pre-trained AE are."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Top-dir of where point-clouds are stored.\n",
    "top_in_dir = '../data/shape_net_core_uniform_samples_2048/'    \n",
    "\n",
    "ae_configuration = '../data/single_class_ae/configuration'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Give me the class name (e.g. \"chair\"): chair\n"
     ]
    }
   ],
   "source": [
    "# Where to save GANs check-points etc.\n",
    "top_out_dir = '../data/'\n",
    "experiment_name = 'latent_gan_with_chamfer_ae'\n",
    "\n",
    "ae_epoch = 500           # Epoch of AE to load.\n",
    "bneck_size = 128         # Bottleneck-size of the AE\n",
    "n_pc_points = 2048       # Number of points per model.\n",
    "\n",
    "class_name = raw_input('Give me the class name (e.g. \"chair\"): ').lower()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6778 pclouds were loaded. They belong in 1 shape-classes.\n",
      "Shape of DATA = (6778, 2048, 3)\n"
     ]
    }
   ],
   "source": [
    "# Load point-clouds.\n",
    "syn_id = snc_category_to_synth_id()[class_name]\n",
    "class_dir = osp.join(top_in_dir , syn_id)\n",
    "all_pc_data = load_all_point_clouds_under_folder(class_dir, n_threads=8, file_ending='.ply', verbose=True)\n",
    "print 'Shape of DATA =', all_pc_data.point_clouds.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "INFO:tensorflow:Restoring parameters from ../data/single_class_ae/models.ckpt-500\n",
      "Model restored in epoch 500.\n"
     ]
    }
   ],
   "source": [
    "# Load pre-trained AE\n",
    "reset_tf_graph()\n",
    "ae_conf = Conf.load(ae_configuration)\n",
    "ae_conf.encoder_args['verbose'] = False\n",
    "ae_conf.decoder_args['verbose'] = False\n",
    "ae = PointNetAutoEncoder(ae_conf.experiment_name, ae_conf)\n",
    "ae.restore_model(ae_conf.train_dir, ae_epoch, verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of DATA = (6778, 128)\n"
     ]
    }
   ],
   "source": [
    "# Use AE to convert raw pointclouds to latent codes.\n",
    "latent_codes = ae.get_latent_codes(all_pc_data.point_clouds)\n",
    "latent_data = PointCloudDataSet(latent_codes)\n",
    "print 'Shape of DATA =', latent_data.point_clouds.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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3ZyFQNY2UrGI3TxxTNVmnOtIXYSia5i2ryvnysyfYfTrI3Ve38P5NtfSHk3z1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\nLBYWlqKBFSwWFpaigRUsFhaWouH/AxHRsevNNy+9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2c5f038b50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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FmKR0eoVZEvnuTav5X+trKXeaaR6IcO8fjtIXiOf9nMyWQhgvhSYi+cRwCQtgAM4VgiBg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\nCgZWsFhYWAqG/x9QU4KQVPB+nAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2c5af6bf90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Check the decoded AE latent-codes look descent.\n",
    "L = ae.decode(latent_codes)\n",
    "i = 0\n",
    "plot_3d_point_cloud(L[i][:, 0], L[i][:, 1], L[i][:, 2], in_u_sphere=True);\n",
    "i = 20\n",
    "plot_3d_point_cloud(L[i][:, 0], L[i][:, 1], L[i][:, 2], in_u_sphere=True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Set GAN parameters.\n",
    "\n",
    "use_wgan = True     # Wasserstein with gradient penalty, or not?\n",
    "n_epochs = 1        # Epochs to train.\n",
    "\n",
    "plot_train_curve = True\n",
    "save_gan_model = False\n",
    "saver_step = np.hstack([np.array([1, 5, 10]), np.arange(50, n_epochs + 1, 50)])\n",
    "\n",
    "# If true, every 'saver_step' epochs we produce & save synthetic pointclouds.\n",
    "save_synthetic_samples = True\n",
    "# How many synthetic samples to produce at each save step.\n",
    "n_syn_samples = latent_data.num_examples\n",
    "\n",
    "# Optimization parameters\n",
    "init_lr = 0.0001\n",
    "batch_size = 50\n",
    "noise_params = {'mu':0, 'sigma': 0.2}\n",
    "noise_dim = bneck_size\n",
    "beta = 0.5 # ADAM's momentum.\n",
    "\n",
    "n_out = [bneck_size] # Dimensionality of generated samples.\n",
    "\n",
    "if save_synthetic_samples:\n",
    "    synthetic_data_out_dir = osp.join(top_out_dir, 'OUT/synthetic_samples/', experiment_name)\n",
    "    create_dir(synthetic_data_out_dir)\n",
    "\n",
    "if save_gan_model:\n",
    "    train_dir = osp.join(top_out_dir, 'OUT/latent_gan', experiment_name)\n",
    "    create_dir(train_dir)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "reset_tf_graph()\n",
    "\n",
    "if use_wgan:\n",
    "    lam = 10 # lambda of W-GAN-GP\n",
    "    gan = W_GAN_GP(experiment_name, init_lr, lam, n_out, noise_dim, \\\n",
    "                  latent_code_discriminator_two_layers, \n",
    "                  latent_code_generator_two_layers,\\\n",
    "                  beta=beta)\n",
    "else:    \n",
    "    gan = Vanilla_GAN(experiment_name, init_lr, n_out, noise_dim,\n",
    "                     latent_code_discriminator_two_layers, latent_code_generator_two_layers,\n",
    "                     beta=beta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "accum_syn_data = []\n",
    "train_stats = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 (-1.4845550561392749, -0.1630677901622322)\n"
     ]
    },
    {
     "data": {
      "image/png": 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JusrRgTDRNPT0D/LGG9E8K8hiseB0OvNeGy1Cw8PDDA4OjlnVYyJkb8iRddXr\n6+tzFT13797N/v370XWd0tJSfD4fpaWlE24KMRcjjNOFIVhzTLGc/NnKw8puw26WuGRBKQA/2LyS\ntKphkzPC8KuPruVwf5RIIs3RoTjH/DHufa1rMlsBBHTALOmcUybz7mU+/u2FXkLpzMToBq+VH31k\nVUF10slW9LTb7axcuRKTyZRrjtrS0oIoijn30ePxjJnpXexZ8oZgzTGF8KtVKIzVsCDbNSiVShEc\n4YYpqRTffTlA87BCIj3OCsffEtVuM+FEmiPDKiIqaxMiFgmSKlw8v4SvXLO4oMRqLCRJyqupnkql\n8Pv9dHV1sX//fmw2W07ApqMxaiFcq4ZgnQXMxpc4XRaWrusoijJmLCiZTBKNRtm+fXvumLIdpS0W\nS84Fy7pk9c0CbaFhzLpCWgXX8ZhWFpMoUOaQ6Q+nTvIWA3GFFTUuXj8WotZjZUW1iy2yiaSqsLMj\nwI9fOsaNF9TSMhDjkgWlmEckogZiacJJhXmltimfjzNhvO/bbDbnqhjouk48HmdwcDDXGNXtdhOL\nxUilUtO63dmkEERzKrzlBWu2CuudjvFEaHRwWhAEJEnKEyCz2YzdbsdkMhGNRlmzZs2Y7kxa1bjr\niRYSisZXNjTxtY1L6Qsl2fSTN0hrKl6HhUA8nktbaPBaCSUURDFTZkYCJAnsEphkiXcsKeNLVzfR\n4LMTjKdZVGZjd3eYQELj0V097OwM0hNKcm6Nm/WLvVy20MtLR4b58UvH0HR4x9IyPnRhHVXuiVWY\nnU0EQcBut1NfX099fT26rhMKhdizZw+HDx9G07Rc/Mvr9Z5xU9S5YK6v9alQPGd5HAr55I/MFUom\nk/T29iIIQp4IZUt4jCVCI0fIzGbzaWfPq6qKIAi55Y76Y+zsDPHOpWU4LCb6w0leOTKMDvQEkywo\ns7OnO0wkqaDrEEwoyJKAgI7TItPuj+eVoFEBsyCQ1nQi8TT/8Vw7f70uzd+vn4/PYea8OjdvdoUR\ngLSic3QojijAq23DvNI2zJKKXgYiKQajKWRR4NGdPaiazu1XL5qZL2AaEQQBj8eDw+FgyZIlWCwW\nAoEAg4ODtLa2IooiXq83181mvPjXXF+vhbAPU6HoBQsydazPtBTGZF01TdNOaQUlk8k8EcqKTbb2\n/OlGyKbC6AvxG39qZW93mKSiIQrwk5c7uHKJl9V1Hub7Mu7YM4cGM6N7gKBn2tUnUjpDsRMTovOq\nlZpENFVFQCCtqPz58CC7OkPcee0SkoqO3SKRTKuUOTJVK2+7cgG/2tnDkcEYSyqdzPdpPHvYj00W\nafTZePvSsmk7/tlEkqRcfAs0IWtkAAAgAElEQVTINfXt6enhwIEDWK3W3PtOpzNv5HIuMQRrjslW\nHZ2KYGmadsq4ULbVPZzIFRrtjmVLy5rN5jHdg/3791NRUYHTOXv1oq5a4iORVlld5+bB7V0E4mni\naZ2rl50osve3F89je3uQQDzNcFxB03RkKZO9Dpmk0qSq5zrqhBIqogA6OpoOLQNxbHKS55sH+Yf1\njfQE4mxrD7Cw3ME33rMUj01mw/IKFE3n6GCU/3yhnUqXmSqPlXtuWJ5LLO0PJ9nZGeKyhd4Zv6lm\nos2X2WymqqqKqqpMb8ZYLMbQ0BCtra1EIhFcLhdut3vOi+IZgjXHZBtRyLKc9/roEbLxRCgWi7Fz\n586T3DGr1ZrnkplMpqL4okdai9efX8P159cA4LKa0HUIx/OHBJdWOvndx9fyatswX9xyiKSmc2Fj\nCX99QS0pRefrT7YSCWdKzEiAIJLpT5jdHhBLa3zjT0d4+uAgh/ujpDVoHojxu919xBWVmy+pxyQK\nPHPIz7ajAS6o9/C965eTVnU+/eg+Ukom5WJ7e4CPXDyP9y5xzPRpOmMmao3b7Xbsdjt1dXXouk44\nHKavr49IJMIrr7xCSUlJLv41+tqdSQzBmiBPPPEEt912G6qqcsstt3D77bfnvZ9MJvnwhz/M66+/\njs/n4+GHH6axsXHMdem6znPPPUdfXx/hcJjPfvazbN68GafTSTqdzn0psiyfZA2NdMlkWWbXrl2s\nWLFixi+a2a7WMJr3nVfFcCzNdatO7s58dCjO7q5wxvcT4NUjAV47GkQUwCZLyJKIgE6D10ZnIImS\nGttKeP1YCKssUldiZVm1i28/cwRNh/09Ef5+/Xzec14VKVXnHUvLEASBYDzFwd4oOjrvO6+KNn+M\nldVOxupT/VLrEPt7wtx4QV2uoupUmM1GqtmMfVmWCYfDrFq1ikAggN/vp60t07koG/86VaXP6Rpl\nNqbmnAZVVbn11lt56qmnqKurY926dWzcuDGvXf29995LaWkpLS0tPPTQQ3zhC1/g4YcfHnN9giDw\n5JNP4vV6kSSJSy+9lKamJkpLS5FleVIn+mxuVz+SheUOrj+/mq/+oZmNKyu56ZIT3bi/+2wbe3vC\naFrGzdMAQdWPt6pXKLVJRFM6h/pjWE0CVgnG6nAvCpk+hmvq3WzZ1ZcrW/PsYT9JReMHm1fy9+sb\nc8uXuyz868bF7OsOs68nwjfes5QllU6GhoZ4ti3GS4Md3HhBHSZR4N+eaiUQV1hY7uDtS07EvTRd\nz+jsJL7zuapplRWLbIDe6/XS1NREOp1maGiIvr4+Dh06hNlszsW/XC5X7timyzoqRCGaKLMiWNu2\nbWPRokUsWLAAgM2bN7Nly5Y8wdqyZQtf/epXAdi0aROf+tSnTvkF3X333QA8+eSTvPOd78Tr9Z7R\nvs2WYBWCMB7sizIcS7OrMwicEKwbzq9G2gmvH8s0VZWAty/18dRBPzpkukYfdwOXVTlosMT4Y7ue\n1ynaYRZJqTqarvPLnX251302CX9cZSCc4IHtXVyx2EdfKMmqOjfRVCY4v68nwgstQ1S6zPx8ayeo\naV5uCyKZYpxf5+bpQ34avTacFonVde7cuo8MxvjHR/ezvMbJ1zcu5XB/lId3dPLBC+ZxTs3cthqb\nDLIsU1lZSWVlJQDxeDxnfYXDYZxOZ859nCqGSzgBurq6mDfvxA1SV1fH1q1bx13GZDLh8Xjw+/25\nLOTxkCSpKDrnzMZFcjpRfN95VVQ4zayoceW9fkFDCduOBjg2HKczkMRmkQglFEptJnwOE63+RG7Z\nPd1Rrl0r8ZUbLuZd/7WVnuPlaKLHe9k7zRLZSYmiAP54xhQ72B/nW08f4aevtBOIq2xcWcmx4Thd\ngQR/97Z6akusnF/v4UuPHSKcSFNpF4irGt9//ijb24OIgsCjt5xP62CMH7zQTjSlsr8nTCSp0jqQ\n6a/4fzu6eHzfAIIocufGmRGs2ajWYLPZqKury8W/IpEIfr+fAwcOEA6H2bdvX07AJttDcK5/NKfK\nWRN0P1Nm0/KZ64vFYhK5ckn+D8A9z7fx8I4eYmmVtKpjkQRiSZXXjgYBCKcyo4LZ8shpTefbOxRe\njx4gFD8+6RmwyQLxlI5NFgjEM5VNAfojmfQIUciUqNG0TLXSLbv78NhMqDq0Dkb5/d5+AvE0NpPI\nsAbdER1Q2NsVxmmRqHBaqPfa+NcnWtjbHcYmi8iSwIcvmsc7jqdGbF5Tg6ppvH/NqSdNz6WVcSbx\nL5fLhcvloq6ujh07dlBTU8Pg4CDt7e1ompYX/zpdmoxhYU2A2tpaOjo6cs87OztPmomfXaaurg5F\nUQgGg7kcl1Mx1Waqs+kSzgaT3c4jb/QSSCjI4okyMnCi/Vda1ZFHxYBjGvxh32DuuQgk0jomSaAn\nlMZuFgkmVHR0Np9fyS939qHroGk6Jkmk1G5iOKYwGE0ji/C73f0EEgpb3uzDY81sTBIyiapJVeN9\nK6r45OWNHBmMMRBOouk6Vyz2ccXiMi5v8ubKPy+pdHLH1QuxWGYuc36u6sFnGdmlGTIzJIaGhhgY\nGODw4cPIspyLf41VwNAQrAmwbt06mpubaWtro7a2loceeogHH3wwb5mNGzdy//33c/HFF/Poo49y\n5ZVXTujEFotgwdxbWGPx+asW8MCOLlqPl6DJMtLJ1rT85NGROGSIpzMddVRVRxKPp5SomRvjpbZg\nLlteU3V6wxkXUjpuccUVnUAik+OW1nQGY2pGrI5/Rhbh17t6eXRnL06LSFrV8TnMvHtlJWtHdJhu\nH4rxYssQVywqYd4MCtZUmYpYjHX9mEwmKioqqKjI5NYlEgmGhoZob28nHA7nChiWlZVhs9kMwZrQ\nRkwm7rnnHq6++mpUVeWmm25i+fLlfPnLX2bt2rVs3LiRm2++mQ996EMsWrQIr9fLQw89NKF1S5KU\nS+o0mDzXrqxka3uA/d0RbLJAWtXz8qwgY+mMJisq0TR5PQ1VDWKajiTAxy+tp9Fn42uPNx+3uDLI\nItSV2rjp4nl87fFmUmr+jWiTBSLHu08r+gnxCic1zq118fWNS2nwZjL193aH0XSdv39kL4G4wpud\nPv5908pTHvNMJI5OhKn+YE1kv61WKzU1NdTU1KDrOtFoFL/fz8GDB4nH40iShNPpJJVKTTr+VQjM\nWgxrw4YNbNiwIe+1O++8M/fYarXyy1/+ctLrLZYYViGMEo5kV2eI3+zqJqHo7GgPZFIZEPA5Zard\nFtr9MYbj45/X0Z12sphEAefx6Tn/u70Ln0MmlspXQLtZxGuXiaZUfrh5OTc/sDf3XqlNIjQiZyI9\nSjyvO6+K/36pnd1dYdxWie5gApssYTGJmESBNfNOjCKmFA1JzBQoHIttbUN888lmrj23ir+9pGH8\nkzWC6UhrmK3PC4KA0+nE6XTS0NCApmm5yqu7du1CVdW8CdzTOU1spij6oLsoilMaJSw0IZkqEz2W\nbzzZwoHeCDpQ7Tbjc8hEkgr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twyiqzq2XZ9zCdywtw2uXcxd360CUT/9qP+dUOrm+TmDt\nwlLuvHYJbquJ5dUuXmgdRhQESu0nhvr/dGAQu0XiL5dVYDaJnFPpZG9PmFqPNZfQ6bZJJNIa6xo8\nfPyyRkrtMpFgAIsWz62nqdxBtcfKFU1erltVxW9293Hl4jKsssQnL2/MLeeymvjF9h5iaY23nxPg\nk3+xAIBwIs1AOFPC+T//3IaqKLzREeBtC31oms7HH9xFNKnwb9etYE39zLW4z472ZvsKLl68mHg8\nzsDAAAcOHCCZTOLz+SgvL6ekpOSka3e6xMYQrEly99138/a3v53bb7+du+++m7vvvptvfvObecvY\n7XZ+/vOf09TURHd3N2vWrOHqq6+mpCRzQd1xxx3ccccd/OxnP8Pv9/ORj3zkjPdnthJHp5LgOpnt\nnI6HXu+mP5TkY5c18KW/bOLjD+1hOJamuT/Khy6sY/Oak63NwWiKlKJxbDgOdZntXDz/xI/MP145\nn1sumYdnRAXPModMJKHw1MEBNq+t4YcvtvPUwQEskoR6/FSUOy3c8rZ6LmoswevItJ0aVKPsaAvw\n6T9t57KFXj73joVs+dja3Hr/Yf18APb3hOkNJVm/2JdrpvqZKxo5MpzKVWDQNJ1/enQvKVXDYhL5\niyYfoaEBzjs+GigIGavzyEAUr33mSyWP/n5sNhv19fXU19ejqip+v5+enh7279+P0+mkoqKCsrKy\naWvJNdezLabKnAjWli1beO655wD4m7/5G9avX3+SYC1evDj3uKamhoqKCgYGBnKClcWoODo5IkmF\ne1/pQNV0Lm/yUl9qo77Uhs9h5lOXN2A6Hgz/475+Xm4d4rYr5lPhsnBBQwnffO9SqtxWOg7tzlvn\ncCxNdzDBsqr8WlnvPKecH7x4jP5IijZ/DK/dRDSp4vaYEAVwWkS6Agl+/FI7kpCx/Bp9dnRd5/eH\no7T54/QEe/j0lfORJTHvGCwmkc/95kCm9LHVxJp6D292hpAlgY9e2oBZzrh7mq7TG0pilgRUTSeh\naNy4zILTmrn0BUHg+zeci6LpmE0zO2p7OrGQJCnXFFXXdcLhMAMDA+zcuRPIjEqaTKYpl2ku5mt+\nTgSrr68v59NXVVXR19d3yuW3bdtGKpVi4cKFJ703HVNzZsvymctfN03Xuef5owTjaf7mwlqGY2nO\nqXJhMYn8/G9WnbT8z17poDuY4KL5pbx7ZSWCILCqLmOVdIxa9p9+vZ/O4QRf2dDE2xaeqC21szN0\nvFWYhM8h0z4UR0Rn+HgwX9UEYmmVvnCSu//Uis9p5tFb1gBww3I3gbTE5Yu8eWL1m129/PDFdj64\ntpqL5pfS5o/R4LXxwPYuvvdsG6IAn7w8xceOu4P+aIovvLOJz/56L+GEwjlVLiA/iVUUBczj9C6c\nbiaTA+V2u3G73SxcuJBUKkVLSwtDQ0O88sorlJSUUFFRMel+goZgjcNVV11Fb2/vSa/fddddec8F\nQTjlCezp6eFDH/oQ999//5jxqKlOfp5rIZktwgmF3+3pR9M0jvriuK3yuMd91B8jkEjjtpm4dGHp\nmMuMpMJppjeUpGRUQwePzYRVFvmLJi+3/XI/x4bjrKxxccP51QyEU/xuTy8tg3FAwG01cV6tm5Si\n8V+v9CGT5ud/syrn6mUZiCRRNJ3BaJo73tWUe10UMg1TE2mNX2zv5B3LK9l+dJg7/3CIEpuJareV\naje8f20d+3f1TP4ETgNTuc7MZjNerxer1UpjYyPDw8MMDAzQ3Nw8qcnahmCNw9NPPz3ue5WVlfT0\n9FBdXU1PTw8VFRVjLhcKhbjmmmu46667uOiii8Zcplim5sz1KKHHJnPb+kba/DF+v7cfnQRDsTQ1\nnsyvcySp8LXHmylzmLl6WTkmUcRpkXBbTx/X+fKGJp47PITPmR9nOdgXJaXqdAUSDEZSoMOm1dW8\na3kFn/vNAYZiaWRJxG6W+JdrF7OqzsPB3ggvtGVmBXw8lsbnOLHOfd1h9naH+btL5vG+VVV52/rA\n2hqq3Wa+uOUgkiDgscocG4pnZhxoOj++cRUuqzzjbt+pmK5qDaIo5hqewtiTtbOB+9HbMwTrDNi4\ncSP3338/t99+O/fffz/vec97TlomlUrxvve9jw9/+MNs2rRp3HUVS7WGuUbTdR7b00dfOMWtlzdQ\n7rJwqC/KZ361n09c1oDbamLb0QCyJPKJyxv4/vXLKbGZxm3zPpLH9vTzgxfaOa/WxX/esILeYIIH\nd3Rx6UIfn7tqAWvqPWw9GiCaVNmwvAJV02nuj2KRTXzisjpeaB0ikc786DRVOLj+XC+Slj4pCP74\n/n5ebQvQMhDj0kVeVE3n+88d5V3LypnntfGzVzvQybTv8jnNfGr9AlbWurGYBN44FuCKJeUzcm5n\ni/HEZqzJ2p2dnezbtw+32015eTllZWXIsmxMzTkTbr/9dm644QbuvfdeGhoaeOSRRwDYsWMHP/rR\nj/jJT37CI488wgsvvIDf7+e+++4D4L777mPVqvx4S7FUa5hrYVQ1nYFIimRaZVG5g2XVLr7+RDMd\nwwmea/bzWluAoWialW4bmyAAACAASURBVNVOnjk0yPJqF+Uuy+lXDCytdOJzyKyp96DrOp98eC8t\ngzH2dUe490PnATCv1JZbXkLge5uW44+meLMz09hV1+Gi+V4kUWDTSh+RSOSkG+aD62p59rAffyTF\nMwcHMZtEXmsbJpxQ6I8kaRuMU+ex8M8bMgM2NrOE0yLx8QfeRJYEPnJxPX3hFBe7Zql0xChmYy7h\n6MnaoVCI/v5+jh49iiRJxONxYrEYbvfM5JzNNHMiWD6fj2eeeeak19euXctPfvITAG688UZuvPHG\n065rOgr4nU31sMbbTqYVfGZov9GXSVD82GUNrKhxc6g/kmvr1R9N829PtbKo3MH9Hz45GD8Wq+rc\n/Oaja2kZiPLzbZ0k0hpWk8j6xT72dIU42Bfl3SsrsMongsMLyuwsKLPzalsmf+uyCcTKajxWvr5x\nKU8dHOAvl1dgljLzGS9eUMrnfr0fBHj7Eh+yJBJLKtz1xGG2tg1hkgRkk8iLLX6ODsVxLBB494SO\nbPqZTZEQBAGPx4PH48lN1t62bRstLS25/MVTTdYuRIo60x2mxyWcLWbTwtJ1nS/89iDtQ3H+4/rl\nuW0H4gr/u62Tv3tbPV67zNIqJ33hJLIoIAiZQnx/3NeP9QxiPTf/YjfD8TTXLq/gutXVzPdaufH+\nNwklFErsJt6x9GSX7Kg/jkkUJtzAYlWdm1V17tzzj13WQCihIAoClU4z1W4zf/vznSyrdrGnK0x/\nOMnqeg///cFVHOgN89zhQc41D0z62KaDue78bLVaMZvNrFq1CkEQJjRZu9A4KwSrWFzC2UTRdA70\nRUimVY76o1w038s//2UT/++xQzy6s5f3nlvF/7zczpbd/aytd/M/H1xJ5Hhl0Rdbh5HPQLAqXWZC\nCYUVNS7qSqx84L5d9AaTWGSRpZVj9zP84tWL2NMd5pIFp7ewxsNtNfGtv1pGJKmQOl7IUJZEPnRh\nHfe+3E6F04zbJnPhfC8XzvfyyiuDZ7ytqVBI5WVONVlbVVXKy8tZtmxZwbmNhmAVScXRySJLIt+7\nbhnff+4oX/lDM3deu5g1DSVcf341dlmiwmVmR3uQlKKRSGusbcgk5KbV/9/eucc3Xd/7/5VrkzRJ\n0+Z+6b3cREFZEdwcIrcx9IduIoh6wA2En0d/Rx/b3NjD6dnD35zd0fn4bVZkR1EQPQoe53DnKB5g\ngkxRWgRrRaBSWtrc2iZpkzT35Pv7o36++zZN2jS3NuX7fDzySNN+m3y/yff7yvv+icFQUkS37xAC\n4SguOvyYrilO+pqv/egauHxhaGRFsLkD4H0z8G+aWoLnP+yEkM/ForpSvHemD3MMMvzTAhNUUiFu\nnK7M+HivNMgADCVrXv3RPKhlYgh4HCyaroZJkbtG53ySq+bnRM3a/f39k06sgCkgWIWyCEW+YJ7U\nterib1bEodDnDYHP5aBcIcKbp6yYVy7HE6tn4tjXTtw5/x+tOAIed1jxJ+GpQ+042ubApm9XoC7B\n6755yooTHf14eNlQwaZOLsKuDXPB5XDw2H+dw/tfDblhrRYPer0hnLV78U8LTGMeQ6rY3UHY3EGc\ntQ3glmtMdPlCvPC6fCG83BqEuciM27+VeO3BXJENCykfvYSkIXsyUvCCVSgW1kRlCR+/eQY6HD7a\nAjl0rg9tvT6c6OzHrXN1uPtaI2SisU+DEvHQaB2ZiAf4R/59b7MFdk8Qn3UNQC7iwx+KYckMJTgc\nDn50XTnkIh4iMeDmKzW45ApgxiiWGjD6RUXGBQUCAQSDQZy3ufH4B3a4/FFwOYDL6cKG6+tQUlIy\n4nk+uzSAU71RXPqoM++ClSmkefpyhhWsKVaHFX+BykV8zDH+I0j906U1aOrsx2y9DD/a8znEAh52\nbZiLaIxCsZCXVCgeuKEKd883oqxYiKamSyP+/osVtWgxuxGLUfjJW1+hWMhDq9WNwVAMD91YjfmV\nV6S0/++22rH/VDfWzxKhuLiXFiVyH41Gh40LEolEEAgE4PF4KC3mQScTwhMV4L2TbagQhehJHqWl\npeBwOFhYXYol5XysXDBt7J3JMpMhhlXoXPaClS8mgzAO+MPY+MppUACeWzu0UAVFUfj7BSeeOtiO\nG6aVYWFVKRZUKyAtGn5qcDkcepoCMFSI+tLxLoSjFLZ8pwLzKxWYX6nAva99jkA4CpGAg3daekCB\nwrIZKlxbpaDn3MeLELmPRCJ4uTmES54YaouDqFQOLbJBxgWRIYrxVAHYU66HSMDFJ+0O/Ob9dshF\nArz7wHVwOp2wWCw4c+YMSktLodVqcUutAN+ZoCLSyeASFjJTQrDYSvfUuOjww/HN6jH+cBQ775qD\nQCSGZ490wBeK4qN2F97/qg+3Xa3DgzdW0/9HURS6+wPQyYvoRmSbO4g3TloBaqhw1BuM4MY6BdZd\nrcLFvkG4AxHM04tglHJA9bXjRM9QnJHMuSeDExUKBf2Yz+fj1+UeHPqiG0sqhaiurh55EElQfdMW\ndIW2GNeUl+Bqk2JEJszpdMJut2NwcBBffPEFtFotPbo4H2SjrOFyp+AFq1CanyeDMM41yrCwphQt\nZjf+ds6B+2+owvtfWXH4XB8oCrimXI4Ohx8VjKp0APiv1h784YOL+E6VHA9er0M4HIbfYcGKSj4C\noQj+3/tn0OOn8EYJF3YfcGO1BM22EH44V4PrapS0GKViHczWy6DmKeHz+cbcNhEqqRB/XHvViAkG\nHA6H7r9zuVwwmUyw2+1oa2uDVCqFTqeDSqUa1+SDdGBdwswoeMFi52GNJNmJzeFwcJVBhlaLB2+d\ntqJvMIRN366AVmbBgD+E2WoBBFQYzx65gGC/HbNKh8oE2s1hhMNReL0eOJ1CUBQFuUyG/71YhXfP\nDeBjmwUVSgEEAi6oQACDXAlcgSAOtfuxYq4sJ8cYjsbA544+6SMZHA6HnvpJ2lfsdjsuXLgAsVgM\nnU4HtVo9rnnrqZCNL6ypeL6Oh8tesID8teZMhIVFVgIicaKV5RSiXhH+fNaLoNuJ/g4Pfn0tB37I\noSvhoMUcAwccSEtKMXOmFkKhEPX1wG0DAWhlQy6hy+WCWj0UA/rz522we0JYMUuNDQtMuNA3iGiU\nwufdbszWD5UUxChqxJiYTDh5aQC/+us5LJ+pwk+W1mT0XPHtK16vFzabDR0dHSgqKoJWq4VGoxn3\nKs+JyNa0hsuZKSFYl2sMKxaL0QtuMAPYX3zxBb1QK1kJiMSJZMUS3HN9Ge74Ng9KuRj8OBfo99VR\nWAeCqFaKh11cJsWQm0hRFD61RmBvteOm2RqopEJ83TcITzAMlVQIlVSI5kv9ePDGaiybqcLzxzrx\nTosd//d/TUd9lualmwcCCEZiaHek5zYmg8PhQCaTQSaTYdq0aRgcHITNZkNzczMEAgG0Wm1ehj0m\ng3UJp4BgTdUYFnNpskRZNbJqNHNtRJLir62thVgsHjWYnGx1RLGAhxrV8NVbXL4wjrY54PSFceP0\nMrzZFoawswNzjXL8n8XV+OoNLz69OADLQAAKsQC/euccIjEKenkRztq8CERi6HD4syZYN83WIBCO\n4uveQVgHAtCPcwHUVCkuLkZtbS1qa2vh8/lgt9vh9/vR1NQEjUYDrVY75sA8JmxZQ+YUvGAVUlkD\ngaIohMNhWoDixShRrVFRURGUSiX9c7LgcHd395hiNR6+tHrwk7fOwDEYhlzER1uPFyIesLBGAZ28\nCJEYBa28CMHIUExJJBiqlLe5g6goE+OxVdNwzu7F/MrsrUbD43LwcbsLn1zsh0IsGLZyTq6QSCSo\nqqqC1WrFVVddBbvdjpaWFlAUBY1GA51OB7FYPPYTsWTEZS9Y2bawktUaeTweeL1eukcrPr0/Vq3R\nRBGMxMABoBDxUVzExZHzDnAoYP23jN+UOMTwyxW1qCyTQPHNwD3m6GIA+HbNyFaf0Ujl81hfb4BY\nMLSEWL4RiUSorKxEZWUlgsEgenp60Nraimg0SltexcUjK/lZCytzJs+VkSb5FqzRCh/D4TA4HA74\nfP6IWiOpVAqn04mZM2fm/KTLpgDPKy/BjvVXYe9JC948ZUM0RkHCB6ZphtzGZ4904N0ve3DXfCN+\ndF151l53rPdoQVUpFlSlP+EhXeL3q6ioCOXl5SgvL0coFEJPTw/Onj2LUCgEtVoNrVYLqVRK/1+h\nCNZkFcaCFyw+n581lzAajSYVo1AoRL8eU4zICNqxao3cbveYC25kg1w8f5VSgjXX6NHjCeGSy4/y\nogB437ic0qKhY5YIp36P21hfBEKhECaTCSaTCZFIBD09Pfj666/h9/uhUqkQCAQy/jKZrEKSLwpe\nsFK1sKLR6Ih4UTAYxODgILxeL06cOAEejzdMjKRSKR03EggEGZ0shX6i1aqL8fvbhvoBm5qa6N/f\nda0BH37twLutPbjpSu2Ilp6pRqqfI5/Ph8FggMFgoOes22w2DAwM0DGvRM3Zo1Go2exsUvBnFxGs\nzs5OlJSUJAxkA6AzakSMJBIJSkuHXIrOzk7MmTMn5/s6FeduDQajcPrCADW0lNhUFqx031cyZ93l\nckGj0SAajaKrqwutra0oKyuDTqejm7PHev1C/+LLlAk5u5xOJ9atW4eOjg5UVVVh3759tHjE43a7\nccUVV+DWW29FY2Mj/fuWlhZs2bIFgUAAdrsdjzzyCB577DFalEpKSuiRsKNlzPz+BLNSCph8nNDM\nC1cjK8LTP5iFGIWclReMl1y+B5nGoMgSXRqNBrFYbFhztkKhgE6nSzpjnS08nSDBamhowNKlS7Ft\n2zY0NDSgoaFhxFL1hEcffRSLFi0a8ftZs2bh6NGj4HA4+O53v4tXX301rX3JZxBzKpwwibhCn5v2\nm9EgBZwURYGiKLouDRhKjPD5/Kw3NWe7tSa+OdvlcsFms+Hs2bMoKSnJe3N2ITAhgrV//34cOXIE\nALBx40YsXrw4oWCdPHkSdrsdK1euRHNz87C/kVaJaDQ6qcoaLgdyLfKxWAwURdGfKxGl0faFlIJw\nOBy6HYnMLs+FeKXDaOcZh8NBWVkZysrKQFEU+vv7hzVna7Vauj4vk9cvdJdyQgTLbrdDr9cDAHQ6\nHex2+4htYrEYfvrTn+LVV18ddRVpLpebkeBM1kr3TJjsApzIOgL+IT4CgQCdnZ10UaZIJAKXy6Wz\nrGS70USIiB5TvHg8XsbClQ/BSNac3dPTA7/fD5PJBI1GM+56PVawRmHZsmWw2Wwjfv/EE08Me5ws\n1b99+3asWrUKJlPiud/M/8+UyX6Bj4eJPiGZYkTume4aE/LZ83g82hricDhQq9UoLS1FT08Pzp8/\nD2Doi02j0UAoFI54nkSQL7JYLAa/30/fSGlBOBwet4BNxHnCbM4OBoNQqVQYHBxEU1MThEIh/b6k\n0pzNCtYojGYVabVaWK1W6PV6WK3WhAPvjx8/jmPHjmH79u3wer0IhUKQSqVoaGjI6n6yMazxwXTX\nmKKUCCJIxBIggkR+Hg1mTVMgEIDNZsPp06chEAjoi5TL5dLZ4EAgQAsSMzssEAggEonom0wmQ0VF\nBaLRKCKRCLhcLi1cqYjXRLtkxcXF0Ov1qKuro5uzT548CT6fT0+WSLauICtYabJ69Wrs3r0b27Zt\nw+7du3HLLbeM2Oa1116jf961axeam5uzLlbA1BESJpkcDxEk8jyJrCOpVIqWlhY6KEwKZsktW/Gi\nWCxGC5FAIIBSqYTH48HXX3+NM2fOgMvlQiKRQCaTQSKRQCwWo7S0lC5dGevijMViiMViiEQidAZv\nNPGa6HlW8YKTqDn79OnT4HA40Gq1I5qzWcFKk23btmHt2rXYuXMnKisrsW/fPgBAc3MzduzYQS9X\nny+mUgxrtBMyPnZEfk72PMmso6uuugo+nw9WqxWff/45pFIp9Ho9ysrKxnVBkAbwRBYSGY0Tbx2R\nmBafz4fH44HVaoXT6QQAyOXycRVjMoUpXrx4PN4wV5X5vqRLLgVPIpGguroa1dXVdKkPszlbq9VO\nqh7VdJmQI1AqlTh8+PCI39fX1ycUq3vuuQf33HNPTval0L9xmDDdtUgkMiKYzYRpDY0nmE2QSCSo\nra1FTU0NBgYGYLVacf78eSiVSuj1ekilUnopLqYQ+f1+2l3j8/m0GInFYrqrQCQSpTSqWC6XQy6X\nDysJOHfuHJRKJXQ6HWQyWUbiFQ6Hh4lXNlrA8iF4iZqzz5w5g1AohEgkgsHBwYTN2dnaz1xS+JKb\nIYWSJUwUzE70fDKZDF9++SW0Wi3UajVdODseMUp1f5jWkVAohEwmg8PhgNlsRiwWg0gkglwuh1Qq\nhUgkgkKhSNldGw/MkoBYLAaHw4GOjg74fD6o1WrodLoxL1AmRLwoikIwGITX60UgEIDX66W/ENJx\nfbOxCMV43zdmc7bH40FLSwvOnj2LYDBIvzfM5uzJDitYk8BVA0a6a2PV7DAvGKYgzZgxA8FgEFar\nFa2trRCLxTAYDFAqleM6KclUCqZ1RG7kgmVaRzKZjG4CFwgEiEQisNvtsNlsCIfD9IWRa7eEy+VC\nrVZDrVYjEomgt7cX58+fRzgcHhHXIUMSyTEy70mzu0AggFgshkgkQnFxMXS6oUU4yGslchuTMdHj\nZfh8PsRiMebNm5ewOVur1UIul09q8brsBStfEDeDZNeSpfoBjHDTxhvMLioqQlVVFSorK+F2u2Gx\nWNDW1gaVSgWDwQCJRDK08k2cq0aya8QNIheqSCRCaWkp/TgVd00gENBZPp/PR48aTjfelQ48Ho8O\nwnu9XtryisVi4PF49EwyclwkaC8WiyEUCseMBxK3ERi/eE0ETMFjNmdHo1H09vaio6MDXq8XSqUS\n5eXlKCsb3xyzfHDZC1Y2LppUgtkcDgehUAhnz56FwWCgv8ly5a6RdL/f70dRURFkMhn6+vrQ1dUF\nALS7RrJrcrmcdteyfcFJJBLU1NSguroabrd7RLxLJkuvtYccZyILiYzNZgqSXq9HdXU1OBwOHA4H\nent7weFwoFAooNFoxrXEV7KYF/kbM1lBmGgLK9n/83g86HQ66HQ6xGIx9PX1IRAIpP06uWRKCFau\nXbrR+tbiGS2YvXDhQrhcLpjNZly4cAF6vR46nS7lYkhCNBod4aqRx8RdI03gYrEYxcXFUCqVEIvF\nEAgEtMtIOgwUCgUUCkXOLR5mESS5MNrb2xEIBKDVaqHT6Yal4ZllDfH3ydxSZhZxtOORy+Worq6m\na5mamppol0+pVI5LtIl4kfMkV61B+Wh+5nK54xbvfDIlBCsT0ulbi6/MBlK3jkhwOBwOw2q14tSp\nU5BIJDAajfTECma6P16YiLvGTPeTLn9yoY6FSCRCdXU1qqqqMDAwAIvFgnPnzkGj0UCv10MikYz5\nHJlCphYUFxfD4/Ggt7cXXV1dtLtGbkxBKikpGddxpgKpZaqpqYHb7YbNZsPXX39Nv1YqY1+Yx0Tu\niXiRoZBkQZGJHuA3meNTqTAlBGs8tUeJThgOh4Pz58/DYDBAKpWmnepPBZJ5IsWQarUabrcbra2t\nCIfDdJBXIpEMsxzEYnHW3TXiDikUCkSjUfT09OCrr74CRVEwGAxp9asxiQ/cJ6qzIu5aaWkp9Ho9\nOBwOXC4X+vr6IBaL6XhXruNCTOtvvGUSzM+UHCf5mbiJZCAkRVEIBAJpWV4TkWWcbEwJwYpEImMG\ns5MFsDkcDhYsWIC+vj50dnYiGo3CaDRCq9WmdZGQb9RE1lGiuIpEIqHrj7hcLux2OywWC8LhMDQa\nDVQqVV5OMh6PB71eD71eD7/fD6vViqamJsjlchgMhoQuI7EEEwlSfOCe1FmRx6O9t0qlErW1tXS8\nq62tDWVlZfQXSj5cV2aZRG9vLy5cuACfz0eXaBC3nClIYrGYdsFVKhXEYvEI1zRZU3YqfY0THQOb\nDHDGqdqTsodl5syZ0Ov12LRpE77//e/T31zpWEd+vx9msxm9vb1QqVQwmUz08k3MFXESFUPGV2cz\ns2wk3Z8qHo8HZrOZnlJpMBjyuowUSfn39vbCZrPB5/PRGUJykZI0OfNYc2EJktoqq9UKv9+fMN6V\nCczyhnjxJeUNZEWjaDSKwcFBxGIx6HQ66PX6tD8Xpnil0hp04sQJXHPNNWmvQj0wMICuri5ceeWV\nY27L4/HyXRmfkpJOCcECgLa2Nmzfvh2HDx/Gbbfdho0bNyZsqh4NYtoHAgH4fD44HA64XC7EYjHw\n+Xz6Fi9EqVgN6UJcNbPZDC6XC6PRCLVanfFrjbcGSSgUwu/3w+Vy0fsxEcHZcDhM13dxOBzo9fox\nXVdyrEx3LV6QhEIhbSGRz5QkKRJZJWSFHLIfpMYrXTEhmUYStkgkXidOnMC8efPSFpL+/n6YzWbM\nnj17zG1ZwcoTg4ODeO211/DCCy9g2rRp2Lp1K+rr68HhcEZknZgWEtNdixeiWCwGu92O/v5+aLVa\nGI3GpB3xuT42i8WCvr4+KJVKGI3GpBXcieIq5J5YSOQijbeQxqpB8vl8sFgs6O3tRUlJCQwGw7gX\nVMgGxHW12+2QSCRQKBQQCoX0cTPFVygUDhMiphBnut9kmkRPTw8EAgH0ej3UanXaYp5IvPh8Ppqa\nmlBfX5+2kLhcLlitVlxxxRVjbsvn8/P9ZXR5Chaht7cXDz30EI4dO4ZQKASZTIYdO3bQdUfxojRW\nGhwYsnZsNhvMZjNEIhFMJtO4skjZIhaLoaenB11dXYhEIigpKRl2oSaKlTHvM10BiEBRFD2TfHBw\nEFqtFnq9PmuuGvN1mIWuzHuSeeNyuYhGowiHw5DJZNBqtVAqlVlvAxoLUibR29ubdpkEiYP6/X74\nfD74fD4EAgH09/fjO9/5Dv35jdfKdjqdsNvtmDVr1pjbsoKVZ3w+H/7+97+jsrISfD4fe/bswVtv\nvYXvfe972LRpEyorKzN6/oGBAXR3d8Pj8cBgMECv16ftDiQi1RokPp9PL1dWUlKC8vLyvNRUxUNc\nNavVSldRp+q6kthgfAyJ2SjNdE+ZFlK8IMXHu0ipRrZFNJVjImUSTqcTJSUl0Ov1UCgUAJDQPSWf\nLYmDMq1BYvmS5x5tokQyHA4Henp6WMEqFMLhMP785z/j+eefh0wmw7333oslS5ZkFA8i9VQWiwUy\nmQwmkwklJSVj/h/zWzT+PlnwnmkNxkNRFN14HAwGYTAYoNPpJmSkCNN1LS0thcFggEgkGuaqMd1y\n4B+D9uLjSJlYSOFwGD09PbBarSnHu7JBfBDf7/djYGAAHo8H4XAYfD4fxcXFkEqltMU/2mebCKbb\nCKTWGkSq+2fOnDnm87OCNcloaWlBY2MjmpqacNddd+Guu+5KSWiSQWp3uru7EQgE6IUyE41Yia9B\nir/P9EQJBoOwWCyw2+2QyWQwGo05jzElKnHw+/3wer30mJbi4mKUlpZCKpUOs5Dy0Xvn9/ths9lg\nt9vpqZ2Z1HcRFzXeQiIWITOIz7xxuVw4HA4685rONIl4UhWvvr4+OBwOzJgxY8znZAVrktLf34+X\nX34Zu3fvRn19PbZs2TJm2jdReUO8IEUiEUQiEUgkEqhUKigUipxmE5PtJ2kF8vl8abcCAaBdtvjC\nyPiaq0QWEpfLRTgchs1mg9VqhVAohMFgmJAlrIirZrVa4XK5UFZWRvczMgWd1FklOmaKouhscfwx\nj8ciJNMkyESLRFNCx8to4kWy3tOnTx/zeVjBmuTEYjEcPHgQzz77LDweD9atW4eKigp69ZJEw+fG\nqkGiKAp9fX3o7u5GNBqlVzuZiG5+4rpardZhrUDk4mIKcLwIJyoCJbd0LCSv1wuLxQKHw0EXhKbb\nAJ0uZHEKshpNMBgcljEkFnCiuFkuPr9QKAS73Q673Z61MglyT37u7e1FIBBgBWsqsXXrVnz00UcY\nHBxEaWkplixZgvXr10On02UUU/H7/eju7kZfXx/UajWMRmNeC0GZFoPL5YLD4UAgEKDrbZLFkHJp\nEZIAucViQTAYpCcGpGMBxsOsqWO6biSLSpIWzHorn88Hp9MJDocDnU43YWOFmUJKVsZJpUyC+RmT\nDGN84sJoNNJZy9Fag1jBKkD8fj9ef/11/Pu//zsqKiqwdetWLFy4MKNYEKnpMpvN4PF4MJlMWWm/\nYQbx4y0kZswsvryBLNhJTuZ8tQLFEwqFaJdRJBLRQweTXVDxmUXmjVmdnsgqHMtqYca7JBIJ9Hr9\nuEsTsoXX64XNZkNfX9+wNq54ISZN44niZswvWWZTNmnVSSRerGAVMBRF4dNPP8Wzzz6LtrY23HPP\nPVi7dm3GUw28Xi+6u7vhcrmg0+lgMBiSFqQmyirGC1KiwshUg/gT3QrEhAwddDqd9Nx2AMOOGRiZ\nWWSm/7NVZ8Zc6CJZvCubxAfzmSJMRCYSidD9iiqVChKJJC1xiW8NYvY1CoVCVrCmAna7HS+88AL2\n7duHG2+8Effeey9qamoyes5IJAKLxQKz2Qw+nw+5XA4ul5uwzCFRTCWbJ1auWoESwaw1i8+4kWPm\ncDi0S6NSqejq/nxbO8z6Lp/PR/czjlfUEx0zKQxNFsyXSCTDin1JMsVqtcLtdqe16AaBTI/o6OjA\nxYsX0d7ejo6ODmi1Wvzrv/7ruJ4rQ1jByiWRSAT79+/H888/D4FAgHvvvRcrVqxIeiHFn6iJhu6R\neJHP56OzRuXl5XkveiSMpxUoEcz2oPgb85gTZdviRZgMHbTZbCguLobBYMjLmOVEMOfVAxgW7yJV\n+SR+lCx2xqy/yiRWSAYhjlYmQTojLl68iIsXL6Kzs5P+2ev1oqioCJWVlaipqaFng82YMQPl5eVZ\ne89SgBWsfHHmzBn84Q9/wIcffohFixbBYDBg3rx50Gq19Ik6moWUKLAbDodhsVhgtVohk8lQXl5O\nu0b5hoxYIavhGAwGevxOMhcm0dgV5i3dYDYpS7BYLOjv74darYZer8+ojmm8MIPbbrcbDocDg4OD\nADBsnln8MWezFxIO1gAAEKpJREFUE4IJ+WJob29HV1cXurq68Mc//pGOXfF4PGg0GnpMNRGm2tra\nCekBTQIrWPnk1ltvpUePhEIhXHXVVVi/fj2uvvrqjDJNpF+vu7sbwWAQRqMROp0ub/GF+MC2x+PB\nwMAAnWGUSCR0IWj8xZnrC4EsnmCxWBCNRmkhzTSzN5ZlyExgMG8kceB0OumBhNlahYZYUsRtI1ZS\nR0cH3G43bSURQVIqlTh79iy8Xi8aGhomiyiNBitYEwVFUfjb3/6GxsZG9PX1YdOmTbj11lszTtcH\nAgG6gr2srAwmkyljyyI+uxhfAJss8yQUCuF0OidFKxAw9N6QyQ1SqRQGg2HUxnQixPGuW3yGMd5S\nSuWLIhaLwel0wmq10k3hY8W7iEh2dnbS8SRybzabEY1GoVKpUFtbO8JKmoje0RwwNQTrwIEDePDB\nBxGNRrF582Zs27Yt4XZvvfUW1qxZQ4/gmCxcunQJO3bswF//+lfcfPPN2LRpEwwGQ0bPSb5tu7u7\nQVEUTCZT0sA4CaqOp9GWPE41psKML+WrFSgZFEVhYGAAZrMZ/f399EKuTEsxWXA7mxlGAln/z2q1\nIhaL4dixY5g7dy76+vqGCdPAwACEQuEwK4kIUkVFRUrTRAqcwhesaDSK6dOn4+DBgzCZTJg/fz5e\nf/31EfN8PB4PbrrpJoRCITQ2Nk4qwSIEAgHs27cPf/rTn6DVarF161Zcf/31GZ+Eg4ODuHTpEhwO\nB91MSy7OcDhMr6CTKLCdbWsom61AqbzWaPEzctykop3L5UKn08FkMuU0lhQKhUZYSR0dHeju7qaT\nCWfPnkVFRQV+9rOf0UHuiUogTCIKX7COHz+OX//613j//fcBAE8++SQA4Je//OWw7R566CEsX74c\nTz31FJ5++ulJKVhMmpub0djYiNbWVmzYsAF33HEHpFJp0u1TabQViUSIRCLweDwQCASoqKiYsDYg\nss+jtQKlAnFXSdqfuG/MOixm6p9k3xJZI36/HxaLBT09PZDL5WlbgcTdI1k2pjC5XK6EVlJNTQ2q\nqqro/aIoCmazGSaTaVyvPcVJ6YOY1ItQmM3mYalVk8mETz/9dNg2n332Gbq6unDTTTfhqaeeyvcu\npkV9fT127dqFvr4+vPjii1i6dCmuvPJKzJ8/H3K5HPX19QkbbZnLXY3WJuTxeNDd3Y2LFy9Cp9PB\naDTmxMoZDSKa5eXlcLvdMJvNOH/+PLRaLV0gm0pwm1kCoFar0+5fFIvFtHiQqRpnz54dMXSQWG6X\nLl1CR0cHXZdErKRwOIyysjI64zZjxgysWrUKtbW1KVtJHA6HFas0mdSCNRaxWAw/+clPsGvXrone\nlbRQqVSQyWSQSqWwWCzYu3cv1Go1FAoFFi1aBIlEkpaFJJPJMGvWLEQiEdhsNnrtQ5PJlPcALREe\nsooMWS4eGBK14uJi2koiC6FmUvYwFhwOB6WlpaAoCu3t7WhpacELL7yA9957j56hXlRUhIqKCtTU\n1KCmpgYrV66kraR8ZD9ZklPQLuHAwABqa2tpd8pms6GsrAzvvPPOpHcLk3H+/Hk899xz+OCDD7B2\n7Vps2LABKpUqo+ckgeju7m4MDg7SGb1sxHKYy8UzXbdkWUbiuoVCIVgslpy0AhErqauri3bZiNvW\n1dWFcDiM0tLSYXVJQqEQn3zyCa699lqsW7cuK/vBMi4KP4YViUQwffp0HD58GEajEfPnz8d//Md/\nJF31Y/HixXj66afR19c3ambxmWeewYsvvgg+nw+1Wo2XXnop45HJ2cbr9WLPnj3YuXMnZs2aha1b\nt2LevHkZPy8RCpvNBrlcDpPJNGpBKuldS1S5TYLbpGcxfnpmKiUApBXIYrGAw+Gk3ApEURT6+/tp\nl40Z4HY4HODz+SgvL0d1dTWdbaupqUFlZWXe57yzpEThCxYAvPvuu3jooYcQjUbx4x//GI888gge\ne+wx1NfXY/Xq1cO2Xbx4MX73u9/hzjvvHDWz+MEHH2DBggWQSCR4/vnnceTIEezduzffh5YSFEXh\nww8/RGNjI8xmM3784x/jhz/8YcbtOvEFqWq1GsXFxcNiSiSGxgxu57I4lNkKBAwlE0pLS0fUJV26\ndAnhcBglJSW028YsA5iIwYAsGTM1BGu8pJpZJJw6dQoPPPAAPvroo7ztY7qYzWb86U9/wttvv42V\nK1di8+bNKfV7JZoxTly4aDQKYMi1I6sL6XQ6lJaW5nw6KnFViRgRa+nSpUvg8/n46quv4PV6sXjx\nYixatAh1dXV0LIm1kqYchZ8lTIdUMotMdu7cie9///v52LWMMRqNePzxx/GrX/0Kb731Fu69914o\nFAps2bIF3/rWt+haLKYoJZoxLpVK6YwbM7jNLEi12WyjFqSmAkVRiEajw2JJTCspFApBLpfTbltN\nTQ2WLFmCuro6+nUvXbqU8pRMlqnPlBOs8fDqq6+iubkZR48enehdGRdCoRDr16+H3W7Hyy+/jI0b\nN0Iul+P666/Hgw8+CIVCAblcPu4JqVwuFxqNBhqNBoODgzCbzWhvb4darYbJZErohpJmZBLYZsaS\nent76SGFJLi9ePFibNq0CVVVVRCJRGPuW0VFRVrvEcvUZMoJltFoRFdXF/24u7sbRqNxxHaHDh3C\nE088gaNHj07IKs7Z4M4778SWLVsgkUjgcrnw0ksvYfPmzViwYAG2bNmS0vpzySguLsb06dPp0ojm\n5mbs2rULKpUKQqEQHR0d6OzspN1IZqHk4sWLUVdXN6GFqyxTkykXw0ols3jq1CmsWbMGBw4cwLRp\n0+jfj9W3GAwGsWHDBpw8eRJKpRJ79+5FVVVVvg4tJWKxGA4cOIDnnnsOfr8fmzdvxs033zxqXROZ\nrJmoerunpwc8Hg9GoxEajQbnzp2Dw+HA3r17UVdXB7FYzMaSWLLB5Rl0B8bOLC5btgxffPEF9Ho9\ngCG34+233x6zb3H79u1oaWnBjh078MYbb+Dtt9+etNlFALhw4QK2b9+O//mf/8Ftt92G5cuXw+Px\noL29nRYkYiUVFxePmJdUV1dHz71iEg6Hc9aPx5JdCmh4QGrfemTZ6xRvU5aPP/6YWrFiBf34t7/9\nLfXb3/522DYrVqygPv74Y4qiKCocDlNKpZKKxWJ53c90GBwcpLZv307V1NRQ999/P/XMM89Q+/fv\np7744gvK6/UWxDGwjJ9IJELV1NRQFy5coILBIDVnzhzqyy+/HLGd2+2mvvvd71ILFiygmpqaJmBP\nKYpKUYOmXAwrXVLJLjK34fP5KCkpgcPhyLgSPddIJBLcd999uO+++yZ6V1jyyIkTJ+hSEAC44447\nsH///hHTTh599FH84he/KIheXDYiysIyARw4cAAzZsxAXV0dGhoaRvz9mWeewRVXXIE5c+Zg6dKl\n6OzsHPdrJPoSNpvNw7ZhDg8oBFjB+oZUsovMbSKRCAYGBqBUKvO6nyyFTzQaxf3334/33nsPZ86c\nweuvv44zZ84M2+aaa65Bc3MzWlpasGbNGvz85z/P+n6Q4QG///3vs/7cuYIVrG+YP38+2tracPHi\nRYRCIbzxxhsjWn9Wr16N3bt3AwD+8z//E0uWLBmRIXM6nVi+fDmmTZuG5cuXw+VyjXit06dP47rr\nrsPs2bMxZ86cSR24Z8k+TFdNKBTSrhqTG2+8kV73cuHCheju7h7364z1JezxeNDa2orFixejqqoK\nn3zyCVavXo3m5uY0jyz3sIL1DXw+H42Njfje976HWbNmYe3atZg9ezYee+wxvPPOOwCATZs2weFw\noK6uDs8880xCU76hoQFLly5FW1sbli5dmnAbiUSCV155BV9++SUOHDiAhx56CP39/Tk/RpbJQSqu\nGpN0uzHG+hIuKSmhRzV3dHRg4cKFk3/SSarReWqKZwmzxfTp0ymLxUJRFEVZLBZq+vTpY/7PnDlz\nqPPnz+d611jG4L333qOmT59O1dbWUk8++eSIvwcCAWrt2rVUbW0tde2111IXL15M63XefPNNatOm\nTfTjV155hbr//vsTbrtnzx5qwYIFVCAQSOu1/vu//5uaNm0aVVNTQ/3mN7+hKIqiHn30UWr//v0j\ntr3hhhsmfZaQFawsU1JSQv8ci8WGPU7Ep59+Ss2cOZOKRqO53jWWUUilBOC5556jtm7dSlEURb3+\n+uvU2rVr03qtVEpoKIqiDh48SM2cOZOy2+1pvU6BwQpWrli6dCk1e/bsEbe//OUvIwRKoVAkfR5i\ngR0/fjzXu8wyBvmswwuHw1R1dTXV3t5Oi2Nra+uwbT777DOqpqbmcrK82TqsXHHo0KGkf9NqtbBa\nrdDr9bBardBoNAm3c7vduOmmm/DEE09g4cKFudpVlhTJZx0eM15KujFIvJR0Yzz88MPwer24/fbb\nAQx1Y5BY6uUMK1hZhmQSt23bht27d+OWW24ZsU0oFMIPfvADbNiwAWvWrJmAvSw8nE4n1q1bh46O\nDlRVVWHfvn0oLS0dts3p06dx3333we12g8fj4ZFHHpm0445XrVqFVatWDfvd448/Tv882pfi5Qyb\nJcwy27Ztw8GDBzFt2jQcOnSI7t1qbm7G5s2bAQD79u3Dhx9+iF27duHqq6/G1VdfjaNHj45ZDkFw\nu90wmUx44IEH8nJMk4FcZ1/ZOrwCIVXfkWJjWDnl4YcfpjNTTz75JPXzn/886bb/8i//Qq1fvz5p\nZmkqkuvsaypxpcbGxmFB99tvv32cR8EyCilpEGthTRL279+PjRs3AgA2btyIv/zlLwm3O3nyJOx2\nO1asWJHP3Ztw7HY7PV1Dp9PBbrePuv2JEycQCoVQW1ub0vNnqw6PJcekqmwUa2HllFTKIaLRKHXD\nDTdQXV1d1MsvvzzhFpbD4aCWLVtG1dXVUcuWLaOcTmfSbQcGBiij0TjqPrPZ18saNks42Vi2bBls\nNtuI3z/xxBPDHnM4nIRD8bZv345Vq1ZNmlWDSVxp27ZtaGhoQENDA373u98l3PbRRx/FokWLRn0+\nNvvKMhasYOWRTC/I48eP49ixY9i+fTu8Xi9CoRCkUumEuSb79+/HkSNHAAy5sWSZtXiIG7ty5cq0\n+9TY7CsLANYlnCz87Gc/GxZ0f/jhh0fdfjK4hPl0Y/v6+qglS5ZQdXV11NKlSymHw0FRFEU1NTXR\nbS579uyh+Hw+NXfuXPp26tSptF6PJe+wLmEhsW3bNqxduxY7d+5EZWUl9u3bB2CoHGLHjh148cUX\nJ2S/Josbq1Qqcfjw4RG/r6+vp9+bu+++G3fffXdGr8MyuZmSM91Z8sOMGTNw5MgR2o1dvHgxzp07\nN2ybu+66C8eOHQOXy6Xd2H/+539mM2ws8Vy+i1Cw5IeHH34YSqWSDro7nU7827/9W9Ltd+3ahebm\nZjQ2NuZxL1kKhJQEi63DYkmbVKr6WViyCWthsbCwTAZYC4uFhWVqwQoWCwtLwcAKFgsLS8HAChYL\nC0vBwAoWCwtLwcAKFgsLS8HAChYLC0vBwAoWCwtLwcAKFgsLS8HAChYLC0vBwAoWCwtLwcAKFgsL\nS8HAChYLC0vBwAoWCwtLwcAKFgsLS8HAChYLC0vBwAoWCwtLwTDeVXNSmgrIwsLCkgtYC4uFhaVg\nYAWLhYWlYGAFi4WFpWBgBYuFhaVgYAWLhYWlYGAFi4WFpWBgBYuFhaVgYAWLhYWlYGAFi4WFpWBg\nBYuFhaVg+P/sFI2g9SeJYQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2c5fcf1090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6YmF+0SgjKRovtUdGbVdWNJ49MsSKYifNg3FEQWB/m58vPVvHv964Bn80QURScFsNbFzi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\njIEJFoPByBiYYDEYjIyBCRaDwcgY/j+ubEyz9wt8QQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2bc6ae8c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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+v5/29nYOHjyIzWbLCthMNEbNh2vVEKzTgLk4iTNlYem6jqIoY8aCEokEkUiE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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2bc4239b90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Train the GAN.\n",
    "for _ in range(n_epochs):\n",
    "    loss, duration = gan._single_epoch_train(latent_data, batch_size, noise_params)\n",
    "    epoch = int(gan.sess.run(gan.increment_epoch))\n",
    "    print epoch, loss\n",
    "\n",
    "    if save_gan_model and epoch in saver_step:\n",
    "        checkpoint_path = osp.join(train_dir, MODEL_SAVER_ID)\n",
    "        gan.saver.save(gan.sess, checkpoint_path, global_step=gan.epoch)\n",
    "\n",
    "    if save_synthetic_samples and epoch in saver_step:\n",
    "        syn_latent_data = gan.generate(n_syn_samples, noise_params)\n",
    "        syn_data = ae.decode(syn_latent_data)\n",
    "        np.savez(osp.join(synthetic_data_out_dir, 'epoch_' + str(epoch)), syn_data)\n",
    "        for k in range(3):  # plot three (syntetic) random examples.\n",
    "            plot_3d_point_cloud(syn_data[k][:, 0], syn_data[k][:, 1], syn_data[k][:, 2],\n",
    "                               in_u_sphere=True)\n",
    "\n",
    "    train_stats.append((epoch, ) + loss)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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zs0w4UMzMLBMOFDMzy4QDxczMMuFAMTOzTDhQzMwsEw4UMzPLhAPFzMwyUbRA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\nWSYcKGZmlon/D828+HCOvPqIAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f36df1938d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if plot_train_curve:\n",
    "    x = range(len(train_stats))\n",
    "    d_loss = [t[1] for t in train_stats]\n",
    "    g_loss = [t[2] for t in train_stats]\n",
    "    plt.plot(x, d_loss, '--')\n",
    "    plt.plot(x, g_loss)\n",
    "    plt.title('Latent GAN training. (%s)' %(class_name))\n",
    "    plt.legend(['Discriminator', 'Generator'], loc=0)\n",
    "    \n",
    "    plt.tick_params(axis='x', which='both', bottom='off', top='off')\n",
    "    plt.tick_params(axis='y', which='both', left='off', right='off')\n",
    "    \n",
    "    plt.xlabel('Epochs.') \n",
    "    plt.ylabel('Loss.')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "TensorFlow1",
   "language": "python",
   "name": "tf1"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
